摘要
In this article, we study the locally distributed feedback stabilization problem of a nonuniform Euler-Bernoulli beam. Firstly, using the semi-group theory, we establish the wellposedness of the associated closed loop system. Then by proving the uniqueness of the solution to a related ordinary differential equation, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise multiplier method, we prove that, by either one distributed force feedback or a distributed moment feedback control, the closed loop system can be exponentially stabilized.
In this article, we study the locally distributed feedback stabilization problem of a nonuniform Euler-Bernoulli beam. Firstly, using the semi-group theory, we establish the wellposedness of the associated closed loop system. Then by proving the uniqueness of the solution to a related ordinary differential equation, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise multiplier method, we prove that, by either one distributed force feedback or a distributed moment feedback control, the closed loop system can be exponentially stabilized.
出处
《自动化学报》
EI
CSCD
北大核心
2005年第5期772-778,共7页
Acta Automatica Sinica
基金
国家自然科学基金，China Geosciences University
关键词
EULER-BERNOULLI梁
非均质分布
局部反馈
稳定性
线性半群
分段多项式
Nonuniform Euler-Bernoulli beam, linear locally distributed feedback control, linear semigroup, exponential stability, piecewise multiplier method.
作者简介
YAN Qing-Xu,E-mail： mahoush@polyu.edu.hk,Received his Ph.D. degree from Academy of Mathematics ＆ System Sciences, Chinese Academy of Sciences. Now he is a professor working at China Geosciences University in Beijing. His research interests include distributed parameter control theory.
HOU Shui-Hung , Vice Dean of the Department of Applied Mathematics at Hong Kong Polytechnical University. His research interests include the multi-valued function analysis and control theory.
Feng-De-Xing, Professor of Institute of Systems Science, Academy of Mathematics and System Science, Chinese Academy of Sciences. His research interests include control theory of distributed parameter systems.
QI Jian-Ling, Received her Ph.D. degree from School of Earth Physical Exploration and Information Technology. Now she is an associate professor of the Information Engineering School, China Geosciences University. Her research interests include intelligent control and its applications.
